Extracted text: Consider the following functions. f,(x) = 0, f,(x) = x, g(x) = c,f,(x) + c,f,(x) + czf;(x) f3(x) = e* Solve for c,, C,, and c, so that g(x) = 0 on the interval (-∞, ∞). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C,, C2, C3} = { Determine whether f,, f,, fz are linearly independent on the interval (-0, o). 1' linearly dependent linearly independent Need Help? Read It